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具有重叠结构的有向图集的维数估计 被引量:1

A lower estimation of the Hausdorff dimension for directed graph set with overlaps
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摘要 找到一种估计具有重叠结构迭代吸引子的维数下界的方法,并以此方法得出具有重叠结构的有向图集的Hausdorff维数的一个下界估计. A kind of method which can estimate the Hausdorff dimension for attractors with Overlaps has been found, and by this way a lower estimate of the Hausdorff dimension for directed graph set which can be obtained by an overlapping construction has been given.
作者 肖加清
出处 《湖北大学学报(自然科学版)》 CAS 北大核心 2007年第4期329-331,共3页 Journal of Hubei University:Natural Science
基金 国家自然科学基金(10571063)资助课题
关键词 有向图集 开集条件 重叠结构 HAUSDORFF维数 directed graph set open set condition construction with overlaps Hausdorff dimenslon
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参考文献5

  • 1Daniel Mauldin R, Williams S C. Hausdorff dimension in graph directed constructions [J]. Transac-tions of the American Matheatical Society, 1988,309 : 812-827.
  • 2Hutchinson J. Fractals and self-similarit [J]. Indiana Univ Math J, 1981,30:713-747.
  • 3Falconer K J. The Hausdorff dimension of self-affine fractals [J]. Math Proc Cambridge Philos Soc, 1988,103:339-350.
  • 4Falconer K J. Dimensions and measures an measures of quasi self-similar sets [J]. Math Proc Cambridge Philos Soc, 1988,103:543-554.
  • 5Falconer K J. Mathematical foundations and applications [M]. Lonon: John Wiley Sons, 190:164-166.

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